On existence and behaviour of asymptotically flat solutions to the stationary Einstein equations |
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| Authors: | Oscar Reula |
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| Institution: | (1) Max-Planck-Institut für Physik und Astrophysik, Max-Planck-Institut für Astrophysik, Karl-Schwarzschild-Strasse 1, D-8046 Garching bei München, Federal Republic of Germany |
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| Abstract: | We show existence and uniqueness of asymptotically flat solutions to the stationary Einstein equations inS= 3–B
r
, whereB
r
is a ball of radiousr>0, when a small enough continuous complex function û on  S is given. Regularity and decay estimates imply that these solutions are analytic in the interior ofS and also at infinity, when suitably conformally rescaled. |
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| Keywords: | |
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